A correspondence principle

Barry D. Hughes; Barry W. Ninham

doi:10.1016/j.physa.2015.09.024

A correspondence principle

Barry D. Hughes^*, Barry W. Ninham

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

A single mathematical theme underpins disparate physical phenomena in classical, quantum and statistical mechanical contexts. This mathematical "correspondence principle", a kind of wave-particle duality with glorious realizations in classical and modern mathematical analysis, embodies fundamental geometrical and physical order, and yet in some sense sits on the edge of chaos. Illustrative cases discussed are drawn from classical and anomalous diffusion, quantum mechanics of single particles and ideal gases, quasicrystals and Casimir forces.

Original language	English
Pages (from-to)	495-517
Number of pages	23
Journal	Physica A: Statistical Mechanics and its Applications
Volume	443
DOIs	https://doi.org/10.1016/j.physa.2015.09.024
Publication status	Published - 1 Feb 2016

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10.1016/j.physa.2015.09.024

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AB - A single mathematical theme underpins disparate physical phenomena in classical, quantum and statistical mechanical contexts. This mathematical "correspondence principle", a kind of wave-particle duality with glorious realizations in classical and modern mathematical analysis, embodies fundamental geometrical and physical order, and yet in some sense sits on the edge of chaos. Illustrative cases discussed are drawn from classical and anomalous diffusion, quantum mechanics of single particles and ideal gases, quasicrystals and Casimir forces.

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KW - Classical analysis

KW - Quantum mechanics

KW - Quasicrystals

KW - Random walks and Lévy flights

KW - Statistical mechanics

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JO - Physica A: Statistical Mechanics and its Applications

JF - Physica A: Statistical Mechanics and its Applications

ER -

A correspondence principle

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